137768961 has 32 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 81737600.

The previous prime is 137768941. The next prime is 137768971. The reversal of 137768961 is 169867731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137768961 - 2¹³ = 137760769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137768961.

It is not an unprimeable number, because it can be changed into a prime (137768941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490141 + ... + 490421.

It is an arithmetic number, because the mean of its divisors is an integer number (6395760).

Almost surely, 2^137768961 is an apocalyptic number.

137768961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137768961 is a deficient number, since it is larger than the sum of its proper divisors (66895359).

137768961 is a wasteful number, since it uses less digits than its factorization.

137768961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557.

The product of its digits is 381024, while the sum is 48.

The square root of 137768961 is about 11737.5023322681. The cubic root of 137768961 is about 516.4763756166.

The spelling of 137768961 in words is "one hundred thirty-seven million, seven hundred sixty-eight thousand, nine hundred sixty-one".